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Finding the Fourth Proportional to 5,784.15, 7,982.09 and 3,266.25

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Solution

The fourth proportional to 5,784.15, 7,982.09 and 3,266.25 is: 4,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.15 : 7,982.09 = 3,266.25 : x
  2. Step 2: Convert to fraction form
    5,784.15/7,982.09 = 3,266.25/x
  3. Step 3: Cross multiply
    5,784.15x = 7,982.09 × 3,266.25
  4. Step 4: Simplify right side
    5,784.15x = 26,071,509.63
  5. Step 5: Solve for x
    x = 26,071,509.63/5,784.15
  6. Step 6: Final answer
    x = 4,507.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.